# Celliprismated tesseractic tetracomb

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Celliprismated tesseractic tetracomb | |
---|---|

Rank | 5 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Capotat |

Coxeter diagram | x4x3o3o4x () |

Elements | |

Tera | 4N tesseracts, 6N square-octagonal duoprisms, 4N truncated cubic prisms, N truncated tesseracts, N small disprismatotesseractihexadecachora |

Cells | 16N tetrahedra, 32N triangular prisms, 8N+24N+24N cubes, 24N octagonal prisms, 8N truncated cubes |

Faces | 64N triangles, 48N+48N+96N squares, 24N octagons |

Edges | 32N+96N+96N |

Vertices | 64N |

Vertex figure | Triangular antipodial pyramid, edge lengths 1 (small base of antipodium), √2 (sides and other base of antipodium, and lacings to large base), and √2+√2 (lacings to small base) |

Related polytopes | |

Army | Capotat |

Regiment | Capotat |

Conjugate | Quasicelliquasiprismated tesseractic tetracomb |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | R_{5} |

Convex | Yes |

The **celliprismated tesseractic tetracomb** or **capotat**, also called the **cellitruncated tesseractic tetracomb** or **steritruncated tesseractic tetracomb** is a convex uniform tetracomb. 1 truncated tesseract, 1 small disprismatotesseractihexadecachoron, 1 tesseract, 3 truncated cubic prisms, and 3 square-octagonal duoprisms join at each vertex of this tessellation. As the name suggests, it is the steritruncation of the tesseractic tetracomb.

## Vertex coordinates[edit | edit source]

The vertices of a celliprismated tesseractic tetracomb of edge length 1 are given by all permutations of:

Where i, j, k, and l range over the integers.

## Related polytopes[edit | edit source]

Name | OBSA | CD diagram | Picture |
---|---|---|---|

Tesseractic tetracomb | test | ||

Rectified tesseractic tetracomb | rittit | ||

Icositetrachoric tetracomb | icot | ||

Truncated tesseractic tetracomb | tattit | ||

Bitruncated tesseractic tetracomb | batitit | ||

Small rhombated tesseractic tetracomb | srittit | ||

Rectified icositetrachoric tetracomb | ricot | ||

Great rhombated tesseractic tetracomb | grittit | ||

Truncated icositetrachoric tetracomb | ticot | ||

Small prismated tesseractic tetracomb | sidpitit | ||

Prismatotruncated tesseractic tetracomb | potatit | ||

Prismatorhombated tesseractic tetracomb | prittit | ||

Great prismated tesseractic tetracomb | gippittit | ||

Tesseractic tetracomb | test | ||

Celliprismated tesseractic tetracomb | capotat | ||

Cellirhombated tesseractic tetracomb | scartit | ||

Celligreatorhombated tesseractic tetracomb | gicartit | ||

Celliprismatotruncated tesseractic tetracomb | captatit | ||

Great cellated tesseractic tetracomb | otatit |

## External links[edit | edit source]

- Klitzing, Richard. "capotat".

- Wikipedia Contributors. "Steritruncated tesseractic honeycomb".